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Finding the Third Proportional to 412,423 and 862,560

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Solution

The third proportional to 412,423 and 862,560 is: 1,803,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,423 : 862,560 = 862,560 : x
  2. Step 2: Convert to fraction form
    412,423/862,560 = 862,560/x
  3. Step 3: Cross multiply
    412,423x = 862,560 × 862,560
  4. Step 4: Simplify right side
    412,423x = 744,009,753,600
  5. Step 5: Solve for x
    x = 744,009,753,600/412,423
  6. Step 6: Final answer
    x = 1,803,996.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.